Abstract

We present a generalized theoretical model for the response of the
phase/Doppler (P/D) measurement system to light scattered by
cylindrical fibers. This theoretical model is valid for arbitrary
fiber diameters and refractive indices, for Gaussian incident beams,
and it accounts for arbitrary fiber orientations, fiber positions, and
effects that are due to the two-dimensional receivers. The
generalized P/D computer model (GPDCM) is the extension of an
earlier study by the authors, combining past P/D simulation
methodology with recent developments in modeling light scattering by
tilted cylindrical fibers. A fortran computer program
that implements the GPDCM theoretical development was written and
tested against known P/D results and physical expectations. To
illustrate the capabilities of the GPDCM, we present computation
results, comparing the effect of fiber tilt, fiber position, and
receiver aperture on the performance of P/D systems configured in
backscatter and sidescatter arrangements. Calculations show that
the effects of fiber tilt and position are most pronounced in the
backscatter P/D arrangement, resulting in broadening of the measured
phase distribution. The calculated mean phase shifts, however, were
found to be essentially independent of the above
factors. Computational results also showed that the effect of fiber
tilt and position on phase-distribution measurements can be reduced
through proper choice of aperture shape and by imposition of threshold
criteria on measurable signal characteristics such as the amplitude
ratio and visibilities. The GPDCM provides a computational tool
that will be valuable in the design, optimization, and evaluation of
P/D fiber measurement systems.

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.